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Finding the Fourth Proportional to 539.23, 806.88 and 466.96

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Solution

The fourth proportional to 539.23, 806.88 and 466.96 is: 698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.23 : 806.88 = 466.96 : x
  2. Step 2: Convert to fraction form
    539.23/806.88 = 466.96/x
  3. Step 3: Cross multiply
    539.23x = 806.88 × 466.96
  4. Step 4: Simplify right side
    539.23x = 376,781.20
  5. Step 5: Solve for x
    x = 376,781.20/539.23
  6. Step 6: Final answer
    x = 698.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.